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Finding the Fourth Proportional to 223,795.71, 308,842.02 and 121,824.11

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Solution

The fourth proportional to 223,795.71, 308,842.02 and 121,824.11 is: 168,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,795.71 : 308,842.02 = 121,824.11 : x
  2. Step 2: Convert to fraction form
    223,795.71/308,842.02 = 121,824.11/x
  3. Step 3: Cross multiply
    223,795.71x = 308,842.02 × 121,824.11
  4. Step 4: Simplify right side
    223,795.71x = 37,624,404,217.10
  5. Step 5: Solve for x
    x = 37,624,404,217.10/223,795.71
  6. Step 6: Final answer
    x = 168,119.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.